Planimetrics - practice problems - page 4 of 178
Number of problems found: 3542
- The triangle 6
The triangle has an area of 7 ⅞ cm² and a base of 5 ¼ cm. What is the length of h? Explain your reasoning.
- The area 3
The area of a rectangle is given by the expression 4x² + 5x -6. What is the length of the rectangle if its width is x+2?
- Three angles
The three angles of a triangle are (3x-2)°, (4x+5)°, and (2x-3)°, then find the angles.
- Width and length
For a particular rectangle, twice the width is 1 meter longer than the length. The area of the rectangle is 153 square meters. What is the perimeter of the rectangle?
- A triangle 9
A triangle has an area of 16 1/2 square units. The height is 3 2/3. What is the base?
- A sticky
A sticky note shaped like a rectangle has an area of 72 square centimeters. It has a width of 8 centimeters. How long is the sticky note?
- Parallel sides
Area of trapezium is 45 sq cm and sum of the length of parallel sides is 15 cm. Find height of the trapezium.
- Two angles
If one angle of a parallelogram is 24° less than twice the smallest angle, then find the largest angle of the parallelogram.
- Use the formula for area
A parallelogram has sides of 15 cm and 12 cm. If the distance between 15 cm sides is 6 cm, find the distance between 12 cm sides.
- Rectangle - general expression
Find the area of a rectangle whose width is x-2 units and length of x+4 units.
- The 738
The area of a rectangular garden is 2400 sq m. Find the width of the garden if its length is 40m.
- The perimeter 12
The perimeter of an equilateral triangle is 41.46 inches. If the length of each side is (q - 5.7), what is the value of q?
- For triangle
For triangle XYZ, ∠X = (6g + 14)° and the exterior angle to ∠X measures (5g + 45)°. Find the measure of ∠X and its exterior angle.
- The hypotenuse
The hypotenuse of a right-angled triangle is 20 meters. If the difference between the lengths of the other sides is 4 meters, find the other sides.
- The length 18
The length of a rectangle is three times its width. Suppose the perimeter is 96 cm. Calculate the width of the rectangle.
- Suppose 10
Suppose 4+7i is a solution of 5z²+Az+B=0, where A, B∈R. Find A and B.
- A baseball
A baseball is hit over the 325 foot fence, which is 110 feet tall. How far did the ball carry on a straight line when it reached the fence?
- The perimeter 10
The perimeter of a rectangle is 162 inches. The length is 35 inches longer than the width. Find the length and width of the rectangle.
- Length and width
The length of a rectangle is 7 cm more than the width. Find the width and length if the perimeter of the rectangle is 78 cm.
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